A New Decomposition Method of LC-Ladder Matching Circuits with Negative Components

Satoshi TANAKA

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E103-A    No.9    pp.1011-1017
Publication Date: 2020/09/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.2019KEP0004
Type of Manuscript: Special Section PAPER (Special Section on Circuits and Systems)
matching circuit,  RF,  LC,  resistive termination,  power amplifier,  low noise amplifier,  

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Matching circuits using LC elements are widely applied to high-frequency circuits such as power amplifier (PA) and low-noise amplifier (LNA). For determining matching condition of multi-stage matching circuits, this paper shows that any multi-stage LC-Ladder matching circuit with resistive termination can be decomposed to the extended L-type matching circuits with resistive termination containing negative elements where the analytical solution exists. The matching conditions of each extended L-type matching circuit are obtained easily from the termination resistances and the design frequency. By synthesizing these simple analysis solutions, it is possible to systematically determine the solution even in a large number of stages (high order) matching circuits.